Multivariate Linear and Non-Linear Causality Tests


Book Description

The traditional linear Granger test has been widely used to examine the linear causality among several time series in bivariate settings as well as multivariate settings. Hiemstra and Jones (1994) develop a nonlinear Granger causality test in a bivariate setting to investigate the nonlinear causality between stock prices and trading volume. In this paper, we first discuss linear causality tests in multivariate settings and thereafter develop a non-linear causality test in multivariate settings.







Linear and Nonlinear Granger Causality


Book Description

Several studies have observed a lead-lag relationship between stock index futures and the cash market returns relying largely on the traditional linear tests for Granger causality. Recent research however suggests evidence of nonlinearities in futures and cash market returns. In this study, matched five minute returns from the S amp; P 500 and the FT-SE 100 index futures and cash markets are examined for the presence of both linear and nonlinear causality. Tests for nonlinear Granger causality are based on a methodology recently developed by Baek and Brock. The results of the linear causality tests are similar to those reported in the previous literature. However, the nonlinear Granger causality tests suggest strong evidence of a bi-directional nonlinear causation. The results emphasize the utility of the Baek-Brock test in exploring dynamic asset pricing relationships and point toward a possible misspecification of the forward pricing model.




Panel Non-Linear Causality Test


Book Description

In this paper, we develop a new nonlinear Granger causality test to take into consideration different lags of variables and different values of the bound for panel data.




Economic Growth and Financial Development


Book Description

This book looks into the relationship between financial development, economic growth, and the possibility of a potential capital flight in the transmission process. It also examines the important role that financial institutions, financial markets, and country-level institutional factors play in economic growth and their impact on capital flight in emerging economies. By presenting new theoretical insights and empirical country studies as well as econometric approaches, the authors focus on the relationship between financial development and economic growth with capital flight in the era of financial crisis. Therefore, this book is a must-read for researchers, scholars, and policy-makers, interested in a better understanding of economic growth and financial development of emerging economies alike.







Cointegration and Detectable Linear and Nonlinear Causality


Book Description

This paper applies linear and nonlinear Granger causality tests to examine the dynamic relation between London Metal Exchange (LME) cash prices and three possible predictors. The analysis uses matched quarterly inventory, UK Treasury bill interest rates, futures prices and cash prices for the commodity lead traded on the LME. We also examine the effects of cointegration on both linear and nonlinear Granger causality tests. When cointegration is not modeled, we find evidence of both linear and nonlinear causality between cash prices and analyzed predictor variables. However, after controlling for cointegration, we no longer find evidence of significant nonlinear causality. Our results contribute to the empirical literature on commodity price forecasting by highlighting the relationship between cointegration and detectable linear and nonlinear causality. We also illustrate the importance of interest rate and inventory as well as futures price in forecasting cash prices. Our failure to detect significant nonlinearity after controlling for cointegration may also go some way to explaining the reason for the disappointing forecasting performances of many nonlinear models in the general finance literature. It may be that the variables are correct, but the functional form is overly complex and a standard VAR or VECM may often apply.




Handbook of Time Series Analysis


Book Description

This handbook provides an up-to-date survey of current research topics and applications of time series analysis methods written by leading experts in their fields. It covers recent developments in univariate as well as bivariate and multivariate time series analysis techniques ranging from physics' to life sciences' applications. Each chapter comprises both methodological aspects and applications to real world complex systems, such as the human brain or Earth's climate. Covering an exceptionally broad spectrum of topics, beginners, experts and practitioners who seek to understand the latest developments will profit from this handbook.




Nonlinear Granger Causal Paths, Dependence Measures and Canonical Correlations


Book Description

A popular F test of Granger-causality relies on normally distributed errors of ordinary least squares (OLS) linear regressions. There is a long-standing need for a user-friendly algorithm replacing the OLS by kernel regressions, and the F test by a bootstrap. This paper introduces a version (1.1.6) of the R package 'generalCorr' which offers (bootGcRsq) to satisfy the need. Granger causality requires the 'cause' to occur at a time before the 'effect' occurs, ruling out instantaneous causality. The R command (causeSummary) for assessing instantaneous causality possibly in cross-sectional data is now enhanced by (causeSummBlk). The command (gmcmtx0) for the non-symmetric matrix of generalized correlation coefficients R* is enhanced by (gmcmtxBlk). The asymmetric R* leads to two new concepts, (i) measures of dependence implemented by the command (depMeas), and (ii) generalized canonical correlations which explicitly incorporate pairwise non-linear dependence between linear combinations of variables. The latter needs a new Lagrangian maximization implemented by the command (canonRho). We illustrate its application using joint production of wool and mutton by capital and labor.




Dynamic Copula Methods in Finance


Book Description

The latest tools and techniques for pricing and risk management This book introduces readers to the use of copula functions to represent the dynamics of financial assets and risk factors, integrated temporal and cross-section applications. The first part of the book will briefly introduce the standard the theory of copula functions, before examining the link between copulas and Markov processes. It will then introduce new techniques to design Markov processes that are suited to represent the dynamics of market risk factors and their co-movement, providing techniques to both estimate and simulate such dynamics. The second part of the book will show readers how to apply these methods to the evaluation of pricing of multivariate derivative contracts in the equity and credit markets. It will then move on to explore the applications of joint temporal and cross-section aggregation to the problem of risk integration.